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Basic To Advanced Level Mathematics Part 5

Thursday, April 7, 2022


Addition, Subtraction and Multiplication Of Integer Numbers

(অখণ্ড সংখ্যাৰ যোগ, বিয়োগ আৰু পূৰণ):

Addition And Subtraction Of Integers:

(i) -4 + 3 = -1

(ii) -2 - 3 = -5

Examples :

(i) -11 + 5 = -6

(ii) -11 - 5 = -16

(iii) 11 - 5 = 6

(iv) 11 + 5 = 16

(v) 11 + 5 - 13 = 16 - 13 = 3

(vi) -11 - 5 + 13 = -16 + 13 = -3

(vii) -11 + 5 - 13 = -11 - 13 + 5 = -24 + 5 = -19

(viii) -19 + 5 + 12 = -19 + 17 = -2

(ix) -12 - 5 - 2 = -19

Multiplication Of Integers:
(1)×(1)=+1(1)×(+1)=1(+1)×(1)=1(+1)×(+1)=+1(-1) \times (-1) = +1 \\ (-1) \times (+1) = -1 \\ (+1) \times (-1) = -1\\ (+1) \times (+1) = +1

Example 1:

(i) 2 - (-3) = 2 + 3 = 5

(ii) 2 + (-3) = 2 - 3 = -1

(iii) -2 + (-3) = -2 - 3 = - 5

(iv) 3 - (-4) = 3 + 4 = 7

(v) -5 x (-3) = 15

(vi) 10 x (-3) = -30

(vii) 13 x 3 = 39

(viii) -12 x 3 = - 36

(ix) -2 x (-4) x (-7) = - 56

Questions:

Q. Find the values of the following questions:

(তলত দিয়া সমস্যাখিনিৰ মান নিৰ্ণয় কৰা):

(i) (-12) + (-13)

(ii) (+11) + (+5)

(iii) (-42) + (-35)

(iv) (+22) - (-17)

(v) 19 x (-36)

(vi) -12 x (-12)

(vii) (12) x (-13)

(viii) -5 x (-13)

(ix) (-19) x (-4)

(x) (-5) x (41)